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Finding the Fourth Proportional to 23,926.10, 35,888.54 and 7,285.46

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Solution

The fourth proportional to 23,926.10, 35,888.54 and 7,285.46 is: 10,928.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,926.10 : 35,888.54 = 7,285.46 : x
  2. Step 2: Convert to fraction form
    23,926.10/35,888.54 = 7,285.46/x
  3. Step 3: Cross multiply
    23,926.10x = 35,888.54 × 7,285.46
  4. Step 4: Simplify right side
    23,926.10x = 261,464,306.76
  5. Step 5: Solve for x
    x = 261,464,306.76/23,926.10
  6. Step 6: Final answer
    x = 10,928.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.